A canoe has a velocity of 0.450 m / s southeast relative to the earth. The canoe

Question

A canoe has a velocity of 0.450m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.540m/s east relative to the earth.  a) Find the direction of the velocity of the canoe relative to the river.

A canoe has a velocity of 0.450m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.540m/s east relative to the earth. a) Find the direction of the velocity of the canoe relative to the river.

Explanation / Answer

velocity of canoe relative to river = [0.45*cos 45 - 0.54] i - 0.45*sin45 j => v = -0.22 i - 0.32 j direction = tan^-1(0.32/0.22) = 55.49 degrees anticlockwise wrt -x axis

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